838460705625 has 135 divisors (see below), whose sum is σ = 1571120634369. Its totient is φ = 430733520000.

The previous prime is 838460705617. The next prime is 838460705629. The reversal of 838460705625 is 526507064838.

The square root of 838460705625 is 915675.

It is a perfect power (a square), and thus also a powerful number.

838460705625 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 6 + 0 + 7 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 263362949721 + 575097755904 = 513189^2 + 758352^2 .

It is not a de Polignac number, because 838460705625 - 2³ = 838460705617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838460705629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1991592915 + ... + 1991593335.

Almost surely, 2^838460705625 is an apocalyptic number.

838460705625 is the 915675-th square number.

838460705625 is the 457838-th centered octagonal number.

It is an amenable number.

838460705625 is a deficient number, since it is larger than the sum of its proper divisors (732659928744).

838460705625 is an frugal number, since it uses more digits than its factorization.

838460705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 838460705625 in words is "eight hundred thirty-eight billion, four hundred sixty million, seven hundred five thousand, six hundred twenty-five".